Bernoulli Pressure Calculator

About this calculator

This calculator applies Bernoulli's equation for incompressible, steady flow in a level pipe (no elevation change) to find downstream pressure: P₂ = P₁ + ½·ρ·(v₁² − v₂²), where ρ is fluid density and v₁, v₂ are the upstream and downstream velocities — a direct consequence of energy conservation along a streamline, showing that pressure drops where velocity increases (and vice versa).

This pressure-velocity trade-off explains how a Venturi tube creates suction, why airplane wings generate lift as air moves faster over the curved top surface, how a carburetor draws fuel into an airstream, and why pipe diameter changes affect pressure readings in plumbing and industrial fluid systems.

Mechanical and aerospace engineers designing piping, nozzles, and airfoils, HVAC engineers analyzing duct systems, and fluid mechanics students working through Bernoulli problems all use this calculator, entering upstream pressure and the two velocities (often derived from pipe diameters via continuity).